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Simplifying (x + -10) * x = 9000 Reorder the terms: (-10 + x) * x = 9000 Reorder the terms for easier multiplication: x(-10 + x) = 9000 (-10 * x + x * x) = 9000 (-10x + x2) = 9000 Solving -10x + x2 = 9000 Solving for variable 'x'. Reorder the terms: -9000 + -10x + x2 = 9000 + -9000 Combine like terms: 9000 + -9000 = 0 -9000 + -10x + x2 = 0 Factor a trinomial. (-90 + -1x)(100 + -1x) = 0Subproblem 1
Set the factor '(-90 + -1x)' equal to zero and attempt to solve: Simplifying -90 + -1x = 0 Solving -90 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -1x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -1x = 0 + 90 -1x = 0 + 90 Combine like terms: 0 + 90 = 90 -1x = 90 Divide each side by '-1'. x = -90 Simplifying x = -90Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Solution
x = {-90, 100}
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